Home
Class 12
MATHS
The equation of the lines through ((1,1)...

The equation of the lines through ((1,1) and making angles of `45^(@)` with the line x+y=0 are

A

x-1=0,x-y=0

B

x-y=0,y-1=0

C

x+y-2=0,y-1=0

D

x-1=0,y-1=0

Text Solution

Verified by Experts

The correct Answer is:
D
Let m be the slope of required line.
`therefore|(m-(-1))/(1+m(-1))|=1`
`implies(m+1)/(1-m)=+-1`
`impliesm+1=1-m`
or `m+1=-1+m`
`impliesm=0` or `m=oo`
So, equation of line through (1,1) is y-1=0 and x-1=0.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PRACTICE SET 05

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics)|50 Videos

  • PRACTICE SET 07

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2( MATHEMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

The equations of the lines through (-1,-1) and making angle 45^(@) with the line x+y=0 are given by

The equation of two straight lines through (7,9) and making an angle of 60^(@) with the line x-sqrt(3)y-2sqrt(3)=0 is

Knowledge Check

  • The equations of the lines through (1,1) and making angles of 45^@ with the line x+y=0 are

    A
    x-1=0, x-y=0
    B
    x-y=0, y-1=0
    C
    x+y-2=0, y-1=0
    D
    x-1=0, y-1=0

  • The equations of the lines through (1, 1) and making an angle of 45^@ with the line x + y = 0, are

    A
    x-1=0, x - y = 0
    B
    x - y = 0, y -1=0
    C
    x + y - 2 = 0, y -1=0
    D
    x-1= 0, y -1=0

  • The equations of the lines through (-1,-1) and making angle 45a with the line x+y=0 are given by

    A
    `x^(2)-xy+x-y=0`
    B
    `xy-y^(2)+x-y=0`
    C
    `xy+x+y=0`
    D
    `xy+x+y+1=0`

    • Similar Questions

    Explore conceptually related problems

    Find the equation of the lines through the point (3,2) which make an angle of 45^(@) with the line x-2y=3

    Find the combined equation of the lines through the origin : (1) each making an ange of 45^(@) with the line 3x + y = 2. (2) each making an angle of pi//6 with the line 3x + y - 6 = 0 . (3) which form an equilateral triangle with the line 3x + 4y = 8.

    Find the equations of the st.lines which pass through (4,5) and make angle 45^(@) with the st.line 2x+y+1=0

    The equations of the lines through (1.0) and making angle of 45^(@) with x-2y =3 are

    The equation of the lines passes through (2,3) and making an angle of 45^(@) with the line 2x-y+3=0 is

    Home
    Profile